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3 years ago

X+5/x^2+x-12 What are the restrictions for x

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

x ≠ - 4, 3

the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be

solve x² + x - 12 = 0

(x + 4)(x - 3) = 0

equate each factor to zero abd solve for x

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

restrictions on x are : x ≠ - 4, 3

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40 = 25 + x

RSB [31]

Answer:

True

Step-by-step explanation:

This is true. x + 25 equals 40 in both cases, so they're equal.

4 0

3 years ago

Find the solution to the system of equations y=−7x+3y=−x−3

babunello [35]

Answer:

x=1, y=-4. (1, -4).

Step-by-step explanation:

y=-7x+3

y=-x-3

-------------

-7x+3=-x-3

-7x-(-x)+3=-3

-7x+x=-3-3

-6x=-6

6x=6

x=6/6

x=1

y=-1-3=-4

3 0

3 years ago

El precio de un ordenador portátil ha aumentado un 25% y posteriormente fue rebajado un cierto porcentaje.Calcule que porcentaje

ZanzabumX [31]

Answer:

Se requiere un 20 por ciento de descuento.

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)

Sea $p_{o}$ el precio original del computador portatil, el nuevo precio es:

$p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}$

$p_{1} = 1.25\cdot p_{o}$

Si $p_{2} = p_{o}$ , entonces el porcentaje requerido para recuperar el precio original es:

$r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%$

$r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%$

$r = \left(1-\frac{1}{1.25} \right)\times 100\,\%$

$r = 20\,\%$

Se requiere un 20 por ciento de descuento.

5 0

2 years ago

Ivana printer prints 40 pages in 5 minutes.How many pages will the printer print in 8 minutes

Lana71 [14]

64 pages

divide 40 by 5 for pages printed in 1 minute then multiply this by 8

$\frac{40}{5}$ × 8 = 8 × 8 = 64 pages

6 0

3 years ago

Read 2 more answers

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Serhud [2]

Answer:

Step-by-step explanation:

A) $(tanx-4)(9sin^2x-1)=0\\\\\\$

$9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3}$ or $sinx=\frac{-1}{3}$

OR $tanx=4\\$

$3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}$

3 0

2 years ago